Resolving Markov Chains Onto Bernoulli Shifts Via Positive Polynomials (Memoirs of the American Mathematical Society)

Brian Marcus; Selim Tuncel

ISBN 10: 0821826468 / ISBN 13: 9780821826461

Verlag: Amer Mathematical Society, 2001

Former library book; Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Bestandsnummer des Verkäufers G0821826468I5N10

Inhaltsangabe:

The two parts of this Memoir contain two separate but related papers. The longer paper in Part A obtains necessary and sufficient conditions for several types of codings of Markov chains onto Bernoulli shifts. It proceeds by replacing the defining stochastic matrix of each Markov chain by a matrix whose entries are polynomials with positive coefficients in several variables; a Bernoulli shift is represented by a single polynomial with positive coefficients, $p$. This transforms jointly topological and measure-theoretic coding problems into combinatorial ones. In solving the combinatorial problems in Part A, we state and make use of facts from Part B concerning $p^n$ and its coefficients. Part B contains the shorter paper on $p^n$ and its coefficients, and is independent of Part A. An announcement describing the contents of this Memoir may be found in the Electronic Research Announcements of the AMS at the following Web address ams.org/era.

Bibliografische Details

Titel: Resolving Markov Chains Onto Bernoulli ...
Verlag: Amer Mathematical Society
Erscheinungsdatum: 2001
Einband: Paperback
Zustand: Fair
Zustand des Schutzumschlags: No Jacket